Solve the following system of equations using Substitution, showing all work.

2x+y=9
3x−2y=17

Answer:

18.18%

Step-by-step explanation:

66 - 54 = $12

% change - 12/66 * 100

simplify - 12/66 --> 2/11

2/11 * 100

200/11

18.18%

Answer:

a:  11:7

b: 11:

I hope this helped :)

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Step-by-step explanation:

1. Formula for simple interest,

[tex]a = p(1 + rt)[/tex]

where

a = Final amount

p = Principal amount

r = annual interest rate

t = time in years

given p = 1250

r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)

t=4

Substitute values into formula to get a.

[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]

Let's use the simple interest to calculate Henry's final amount first.

p = 5000

r = 4.2/100

t = 4

[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]

To calculate the interest paid, just use the final amount minus the principal amount

[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]

Now we will do the exact same method for Ingrid.

p = 5,000

r = 3.9/100

t = 6

[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]

[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]

Difference in interest between 2 of them =

Interest of Ingrid Loan - Interest of Henry Loan

= 1170 - 840

= $330

Answer:

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

1, 4, and 7

Step-by-step explanation:

1, 7, 4

Opposite angles are congruent

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

Answer:

printf(“%d”, i++);

Step-by-step explanation:

Answer:

count += 1

OR

count = count + 1

Step-by-step explanation:

count = 0

numbers = int(input("Enter a number: "))

while number > 0:

    number = number // 10

    count +=1

print("Total number of digits", count)

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

Answer:

2,500,000

Step-by-step explanation:

here's the answer

have a great day or night

Answer: C

Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

The utilization of two or more additional numbers that compares is known as the ratio.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.

Let 'x' be the weight of Anne's cat. Then the equation is given as,

5 / 7 = 20 / x

Simplify the equation, then we have

5 / 7 = 20 / x

1 / 7 = 4 / x

x = 28 kg

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ2

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

Hey! It's me again! You told me to answer this, so I will deliver ☺

Answer:

15/21

Step-by-step Explanation:

Because 1/3 and 2/7 do not have the same denominator, we will have to multiply them to get one that they'll both share.

In this case, you multiply both denominators, 3 and 7, to get 21.

We do the same with the numerators, but in a different way.

We're gonna multiply the numerators by the OTHER fractions' denominators this time. So, we do this:

1 x 7 = 7

2 x 3 = 6

We end up getting these fractions:

7/21

6/21

And now, we just subtract 6 from 21, to get 15.

And you get 15/21.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

Answer:

Answer:

1 A 2 A 3 an 4 A 5 Their 6 a, Their 7 they'er 8 there

Step-by-step explanation:

Answer:

2.86478897565  or   3 (if rounded to the nearest whole number)

Step-by-step explanation:

How we find circumference by using diameter is divide the diameter by pi

SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)

Can u mark me as brainlist? :)

HAVE A GREAT DAY!

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

Answer:

B keeping his debt above 30% of his credit card limit.

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.